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Simplifying -5.8x + 1.9 = -32.5 + -1.5x Reorder the terms: 1.9 + -5.8x = -32.5 + -1.5x Solving 1.9 + -5.8x = -32.5 + -1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5x' to each side of the equation. 1.9 + -5.8x + 1.5x = -32.5 + -1.5x + 1.5x Combine like terms: -5.8x + 1.5x = -4.3x 1.9 + -4.3x = -32.5 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 1.9 + -4.3x = -32.5 + 0.0 1.9 + -4.3x = -32.5 Add '-1.9' to each side of the equation. 1.9 + -1.9 + -4.3x = -32.5 + -1.9 Combine like terms: 1.9 + -1.9 = 0.0 0.0 + -4.3x = -32.5 + -1.9 -4.3x = -32.5 + -1.9 Combine like terms: -32.5 + -1.9 = -34.4 -4.3x = -34.4 Divide each side by '-4.3'. x = 8 Simplifying x = 8
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